Speaker: Baiting Xie (谢柏庭) from Tsinghua University
Time & Date: 10:00-11:00 a.m, 03/21, Friday
Location: Room 1510, SIMIS
Abstract: Given a polynomial f, it is difficult to determine the roots of its b-function b_f explicitly. In particular, when f is a homogeneous polynomial of degree d with n variables, it is open to know when -n/d is a root of b_f. For essential indecomposable hyperplane arrangements, this is a conjecture by Budur, Musta\c{t}\u{a} and Teitler and implies the strong monodromy conjecture for arrangements. In this talk, I will introduce a cohomological sufficient condition given by U. Walther and use this result to prove the n/d conjecture for weighted hyperplane arrangements satisfying the nonresonant condition. This is joint work with Chenglong Yu.
Speaker Information：Baiting Xie is currently a graduate student at Tsinghua Univerisity, supervised by Prof. Chenglong Yu. He is interested in complex algebraic geometry, singularity theory, and Bernstein-Sato polynomials. His current research is on the n/d conjecture for hyperplane arrangements.
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